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51293904 = 2438912007
BaseRepresentation
bin1100001110101…
…0111011010000
310120112000000020
43003222323100
5101112401104
65031223440
71161663624
oct303527320
9116460006
1051293904
1126a54962
1215217b80
13a81c32c
146b53184
1547832d9
hex30eaed0

51293904 has 40 divisors (see below), whose sum is σ = 134009280. Its totient is φ = 16904448.

The previous prime is 51293899. The next prime is 51293909. The reversal of 51293904 is 40939215.

51293904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51293899) and next prime (51293909).

It is a super-2 number, since 2×512939042 = 5262129175122432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51293909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 10275.

It is an arithmetic number, because the mean of its divisors is an integer number (3350232).

Almost surely, 251293904 is an apocalyptic number.

It is an amenable number.

51293904 is an abundant number, since it is smaller than the sum of its proper divisors (82715376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

51293904 is a wasteful number, since it uses less digits than its factorization.

51293904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12107 (or 12101 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 51293904 is about 7161.9762635742. The cubic root of 51293904 is about 371.5539804192.

The spelling of 51293904 in words is "fifty-one million, two hundred ninety-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 12007 24014 36021 48028 72042 96056 144084 192112 288168 576336 1068623 2137246 3205869 4274492 6411738 8548984 12823476 17097968 25646952 51293904